FOTD -- June 27, 2008 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image was created with the third version of the
DivideBrot formula, which is notably faster and more intuitive
than version 2, the version I have been using until now. I will
probably make a few more changes before finalizing the formula
as DivideBrot4.
Today's image shows an order-17 minibrot lying on the negative
spike of the parent Mandelbrot set, very near the escape radius.
I know that it's impossible to have order-17 minibrots in a
fractal that on the surface appears exactly like the classic
Mandelbrot set, but I suppose something in the formula never got
the message, for this is what we have in today's image.
The image was spiced up a little by rendering it with the
outside set to 'tdis'. Everything else comes from the numbers
themselves.
I could have used a little more time to work on the coloring,
which explains the rating of only a 6. The name of the image
"Order Septemdecem" is simply a fancy way of saying 'order-17'.
The calculation time of today's image is an astoundingly brief
13 seconds. So why not take a moment to run the included
parameter file. Those with machines that get a case of
indigestion when faced with Fractint may go to the FOTD web site
at:
<
http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and see the finished image in its full semi-glory there.
Thursday began with heavy clouds and light rain here at Fractal
Central. But the rain ended at 10am and the sun appeared around
noon, leading to an afternoon that was hazy, warm and humid,
with a temperature of 86F 30C. The fractal cats enjoyed the sun
when it first appeared, but sought cooler spots when it got too
warm.
I spent my free time working on the new formula and responding
to an e-mail on the Fractint list. I'll probably make a few
more changes in the formula before I have a final version. The
next FOTD will appear in 24 hours. Until then, take care, and
seek the elusive fractal.
Jim Muth
jamth@???
jimmuth@???
START PARAMETER FILE=======================================
Order_Septemdecem { ; time=0:00:13.42-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot3
center-mag=-23.99999459284184000/0/6.080533e+011/1
params=15/12/485/0 float=y maxiter=15000 inside=0
outside=tdis symmetry=xaxis periodicity=10
mathtolerance=0.05/1
colors=000kiMjkJegHacGY_FTWDPSCLOBGK9CG88D79IC_0mA\
SLAXQBaUBfZBjbEeZH`WKWSNRPQMLTHIVCFU8Fa9HiAJpBKlKO\
iTSfaWcj_dgVeeQfcLfaGg_BhY6hW1PWVZcVWKHYOJ_SLaWNb_\
PdcRfgThF0gM7gTDgZJgeP06_MRXjohineimchmahlZgkXtYJo\
bNkgRdgNehPfiRgjT51XA7WFDWKJWPPWUVVZ`VcfVyjgskbmkZ\
lqjjofinbhlZZkl4GmALjGQgMUdRZbXb_bgXr0Op6PoCQmIRlO\
SkUTi_UheVEZMMbPKbWJcZOfUSiPWlK`oFdrAhu6atDWsJQrPK\
qWEpa8pg7mh6ji6gj5dk5bk4_l3Xm3Un2Ro2Po3Wl3aj3gh5_c\
7TZ9LUBEPC7K9JS6V_4ff5_b6U_7OX7IU8CR96O90LE5NJ9OOE\
PTIRYNSbRTgWVl_WqdXvhYlfScdMUbGL`AC_5AY78W96UA4SC2\
QE0OF4QI8RLBTNFUQIWTMXVPZYT__Wab_bebdgfejifljdjkbh\
kagl_emYdmXbnVaoT_oSZpQXpPWnRXlSXkTXiUXhVXfWYeXYcY\
YbZY`_Y_`YYZWXXUWVTVURUSQTQOSONRNLQLKPJIOHHNGFMEEL\
CCKBBX8Ch5Dt3Dq5E_0ml9EjBEgCEeEEbGE`IEYJEWLETNERPE\
PQEXSLcURkWYrYcnb`kgYglVdqS`vPYzN_wOatPbrQdoRfmSgj\
TihUkeVlcWn`XoZYnaVmdSlfP }
frm:DivideBrot3 { ; Jim Muth
z=0, c=pixel, a=real(p1),
b=imag(p1), d=real(p2)+100:
z=sqr(z)/(z^(-a)+b)+c
|z| < d }
END PARAMETER FILE=========================================
